Question

A prism has a triangular base whose area is 42 square inches. If the height of the prism is 11

inches, which of the following is the volume of the prism?

Answer 1

The volume of the prism is of 462 cubic inches.

Explanation:

Volume of a triangular prism:

The volume of a triangular prism is given by:

`V = A_b*h`

In which
`A_b` is the area of the base and h is the height of the prism.

A prism has a triangular base whose area is 42 square inches.

This means that
`A_b = 42`

Height of 11 inches.

This means that
`h = 11`

Which of the following is the volume of the prism?

`V = A_b*h = 42*11 = 462`

Height in inches, so the volume of the prism is of 462 cubic inches.